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Simplifying 3(2y + 4) = 4(3y + -2) Reorder the terms: 3(4 + 2y) = 4(3y + -2) (4 * 3 + 2y * 3) = 4(3y + -2) (12 + 6y) = 4(3y + -2) Reorder the terms: 12 + 6y = 4(-2 + 3y) 12 + 6y = (-2 * 4 + 3y * 4) 12 + 6y = (-8 + 12y) Solving 12 + 6y = -8 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 12 + 6y + -12y = -8 + 12y + -12y Combine like terms: 6y + -12y = -6y 12 + -6y = -8 + 12y + -12y Combine like terms: 12y + -12y = 0 12 + -6y = -8 + 0 12 + -6y = -8 Add '-12' to each side of the equation. 12 + -12 + -6y = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -6y = -8 + -12 -6y = -8 + -12 Combine like terms: -8 + -12 = -20 -6y = -20 Divide each side by '-6'. y = 3.333333333 Simplifying y = 3.333333333
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